Establishment and applications of the new strengthening buffer operators with exponential type

Under the axiomatic system of buffer operator in grey system theory, new classes of strengthening buffer operators with exponential type are established which have the universality and practicability. Meanwhile, their characters and their inherent relations are studied and compared. The problem that there are some contradictions between quantitative analysis and qualitative analysis in pretreatment for vibration data sequences is resolved effectively. Finally, an example shows the new strengthening buffer operators increase the forecast precision of the data forecast model remarkable.